Answer:
The answer to this equation would be 3/35 in simplest form.
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
9 /14 ⋅ 2 /15
You then cross simplify 9 & 15 (can be divided by 3 to get 9=3 and 15=5)
This will then leave you with 3/14 & 2/5
Next, you cross simplify 14 & 2, (both can be divided by 2 to get 14=7 and 2=1)
This will then leave you with 3/7 & 1/5
Then multiply
This will then leave you with your answer of 3/35.
I hope this helps! :)
We are given
Vertical asymptotes:
Firstly, we will factor numerator and denominator
we get
We can see that (x-3) is common in both numerator and denominator
so, we will only set x+3 to 0
and then we can find vertical asymptote
Hole:
We can see that (x-3) is common in both numerator and denominator
so, hole will be at x-3=0
Horizontal asymptote:
We can see that degree of numerator is 2
degree of denominator is also 2
for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator
and we get
y=1
now, we can draw graph
Graph:
Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x =
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x =
f(x) = 6x² + 11x - 3
f() = 6(
)² + 11(
) - 3
= 6() +
- 3
= +
-
=
= 4